Abstract
Given an n-element linear array with the fixed positions x/sub 1/ and x/sub n/ of the leftmost and rightmost array sensors, it is shown that the stochastic Cramer-Rao bound (CRB) and MUSIC performance depend on positions of the remaining n-2 sensors within the interval [x/sub 1/, x/sub n/]. The asymptotic performance of the interpolated array approach shows similar dependence. The most favorable geometries are unrealizable for q<n-1 because the array sensors tend to form q+1 point clusters, where q is the number of sources. An interesting consequence of these facts is that for certain realizable nonuniform linear array (NULA) geometries, interpolated root-MUSIC with a virtual uniform linear array (ULA) of length x/sub n/-x/sub 1/ has better asymptotic performance than conventional root-MUSIC applied to a real ULA of the same length.
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